**Q4: **

Find the magnitude of the vector shown on the grid of unit squares below.

**Q5: **

What is the difference between scalar quantities and vector quantities?

- AScalar quantities only have magnitude; vector quantities only have direction.
- BScalar quantities have both magnitude and direction; vector quantities only have magnitude.
- CScalar quantities only have direction; vector quantities only have magnitude.
- DVector quantities have both magnitude and direction; scalar quantities only have magnitude.
- EScalar quantities have both magnitude and direction; vector quantities only have direction.

**Q6: **

Displacement is a vector quantity which combines distance and direction. For example, the displacement of Washington, DC, from New York City is 200 miles southwest.

What is the magnitude of the displacement?

- A 200 miles southwest
- B200
- Cmiles
- D 200 miles
- Emiles southwest

What is the direction of this displacement?

- Asouthwest
- B 200 miles southwest
- CWashington, DC
- DNew York City
- Emiles southwest

**Q7: **

Find the magnitude of the vector shown on the grid of unit squares below.

- A7
- B50
- C
- D
- E

**Q8: **

Find the magnitude of the vector shown on the grid of unit squares below.

**Q9: **

Consider the vectors and .

What is the magnitude of ? Give your answer correct to two decimal places if needed.

What is the magnitude of ? Give your answer correct to two decimal places if needed.

What is the magnitude of ? Give your answer correct to two decimal places if needed.

**Q10: **

What is the magnitude of the vector ?

**Q11: **

Given that , find the value of .

**Q12: **

The vector is shown on the grid of unit squares below. Find the value of .

- A
- B
- C5
- D
- E9

**Q13: **

Which of the following is a direction vector for a line parallel to the -axis?

- A
- B

**Q14: **

Suppose the points and have coordinates and respectively. Find the magnitude of the vector in terms of , , , and .

- A
- B
- C
- D
- E

**Q15: **

The vector is shown on the grid of unit squares below. Find the value of .

- A
- B
- C13
- D
- E

**Q16: **

Water boils at . Is this temperature a scalar or vector quantity?

- A scalar
- B vector

The freezing point of water is lower than the boiling point of water. Is the freezing point of water a scalar or vector quantity?

- A scalar
- B vector

**Q17: **

An astronomer observes a comet through her telescope and notes down its location. Which additional piece of information would allow her to predict the position of the comet in an hourβs time?

- Athe cometβs distance from her
- Bthe cometβs speed
- Cthe cometβs displacement relative to her
- Dthe cometβs velocity

**Q18: **

Given that , find .

- A4
- B200
- C
- D

**Q19: **

Find the magnitude of the vector shown on the grid of unit squares below.

**Q20: **

The vector is shown on the grid of unit squares below. Find the value of .

**Q21: **

Given that , where and are two perpendicular unit vectors, find .

- A
- B
- C
- D

**Q22: **

The vector is shown on the grid of unit squares below. Find the value of .

**Q23: **

What is the magnitude of the vector ?

**Q24: **

Noah is 25 years old. Is his age a scalar or vector quantity?

- A scalar
- B vector

Noahβs father is 31 years older than him. Is his fatherβs age a scalar or vector quantity?

- A scalar
- B vector

**Q25: **

Find the magnitude of the vector shown on the grid of unit squares below.